Nontrivial solutions for nonlinear elliptic problems via Morse theory

We prove the existence of nontrivial solutions for perturbations of p-Laplacian. Our approach combine minimax arguments and Morse Theory, under the conditions on the behaviors of the perturbed function $f(x,t)$ or its primitive $F(x,t)$ near infinity and near zero.

Saved in:
Bibliographic Details
Published in:Electronic journal of differential equations 2006-09, Vol.Conference (14), p.125-133
Main Authors: Abdesslem Ayoujil, Abdel R. El Amrouss
Format: Article
Language:English
Subjects:
critical group
Minimax method
Morse theory
p-Laplacian
resonance elliptic equation
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove the existence of nontrivial solutions for perturbations of p-Laplacian. Our approach combine minimax arguments and Morse Theory, under the conditions on the behaviors of the perturbed function $f(x,t)$ or its primitive $F(x,t)$ near infinity and near zero.
ISSN:1072-6691